First thing to do is get involved in higher levels of the organization for some political campaigns. Doesn't matter what for - mayor, councilman, governor, senate... just get in and see how things are done. You'll meet LOTS of good contacts, and get a strong understanding of how the electoral system works (and is worked). Then run for something small. Councilman maybe. Then run for something bigger - Mayor. You can make a serious difference the whole way through.
THEN you can get involved in federal politics, and have a good chance.